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Finding the Fourth Proportional to 436.07, 654.06 and 162.14

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Solution

The fourth proportional to 436.07, 654.06 and 162.14 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.07 : 654.06 = 162.14 : x
  2. Step 2: Convert to fraction form
    436.07/654.06 = 162.14/x
  3. Step 3: Cross multiply
    436.07x = 654.06 × 162.14
  4. Step 4: Simplify right side
    436.07x = 106,046.02
  5. Step 5: Solve for x
    x = 106,046.02/436.07
  6. Step 6: Final answer
    x = 243.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.